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WBJEE 2020

Browse the complete Chemistry, Mathematics, and Physics question set from the WBJEE 2020 paper, question by question. Each question shows a quick preview so you can jump straight to the topic or subject you want to revise. Click through to attempt the full question in practice mode, or head back to the paper-wise list to download the entire paper as a PDF.

This paper has 155 questions in total - 52 easy (34%), 83 moderate (54%) and 20 tough (13%). That's a fairly typical mix for this exam. By subject: Mathematics 37% easy, 53% moderate, 9% tough; Physics 23% easy, 55% moderate, 23% tough; Chemistry 38% easy, 53% moderate, 10% tough.

Chemistry questions were spread across 25 chapters, with Some Basic Concepts of Chemistry (4), Structure of Atom (4), and Hydrocarbons (3) carrying the most weight. Mathematics questions were spread across 25 chapters, with Application of Derivatives (9), Functions (5), and Limits (5) carrying the most weight. Physics questions were spread across 24 chapters, with Electrostatics (5), Magnetic Effects of Current (3), and Rotational Motion (3) carrying the most weight.

Chemistry

  1. 1For the above three esters, the order of rates of alkaline hydrolysis is2020Preparation and Properties of Esters
  2. 2This alcohol is2020Preparation and Properties of Alcohols
  3. 3The correct order of acidity for the following compounds is:2020Preparation and Properties of Carboxylic Acids
  4. 4For the following carbocations the correct order of stability is2020Reaction Intermediates
  5. 5The reduction product of ethyl 3-oxobutanoate by in methanol is2020Chemical reactions for aldehydes and ketones
  6. 6What is the major product of the following reaction?2020Chemical reactions for aldehydes and ketones
  7. 7The maximum number of electrons in an atom in which the last electron filled has the quantum numbers and is2020Electronic configuration
  8. 8In the face-centred cubic lattice structure of gold the closest distance between gold atoms is ('a' being the edge length of the cubic unit 2020Cubic system
  9. 9The equilibrium constant for the following reactions are given at The equilibrium constant for the reaction at is2020Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  10. 10Among the following, the ion which will be more effective for flocculation of sol. is2020Colloids
  11. 11The mole fraction of ethanol in water is . Its molality is2020Concentration terms
  12. 12of is mixed with of . The amount of precipitated will be about2020Concentration terms
  13. 13At temperature and pressure, the density of a gas is The gas is2020Gas laws and Ideal Gas Equation
  14. 14Equal masses of ethane and hydrogen are mixed in a empty container at . The fraction of total pressure exerted by hydrogen is2020Vapour pressure and raoult's law
  15. 15An ideal gas expands adiabatically against vaccum. Which of the following is correct for the given process?2020First Law and Basic Fundamentals of Thermodynamics
  16. 16(water) . The temperature at which ice begins to separate from a mixture of 10 mass ethylene glycol is2020Henry's law
  17. 17The radius of the first Bohr orbit of a hydrogen atom is . The velocity of the electron in the first Bohr orbit is2020Bohr's model
  18. 18Which of the following statements is not true for the reaction2020Periodic properties
  19. 19The number of unpaired electrons in the uranium atom is:2020Electronic configuration
  20. 20How and why does the density of liquid water change on prolonged electrolysis?2020Preparation and Properties of Water
  21. 21The difference between orbital angular momentum of an electron in a 4 f orbital and another electron in a 4 s orbital is2020Quantum mechanical model
  22. 22Which of the following has the largest number of atoms?2020Mole concept
  23. 23Indicate the correct IUPAC name of the co-ordination compound shown in the figure.2020Nomenclature of coordination compounds
  24. 24What will be the mass of one atom of ?2020Mole concept
  25. 25Bond order of and are respectively:2020Molecular Orbital Theory
  26. 26To a solution of a colourless efflorescent sodium salt, when dilute acid is added, a colourless gas is evolved along with formation of a whi2020Preliminary Tests
  27. 27The reaction for obtaining the metal (M) from its oxide ore is given by solid, liquid in that case, is2020Properties of D-block elements
  28. 28In the extraction of Ca by electro reduction of molten some is added to the electrolyte for the following reason:2020Alkaline Earth Metals
  29. 29The total number of alkyl bromides (including stereoismers) formed in the reaction will be2020Reactions of alkenes
  30. 30This product in the above reaction is2020Preparation and Properties of Alcohols
  31. 31Which of the following compounds is asymmetric?2020Isomerism of Organic Compounds
  32. 32For a reaction , when concentration of alone is doubled, rate does not change and when concentrations of both and is doubled, rate increases2020Rate law and rate constant
  33. 33A solution is saturated with and . The is found to be . The concentration of - in the solution would be2020Solubility
  34. 34A homonuclear diatomic gas molecule shows 2-electron magnetic moment. The one-electron and two-electron reduced species obtained from above 2020Molecular Orbital Theory
  35. 35Which information below regarding this reaction is applicable?2020Preparation and Properties of Monohalides
  36. 36Which of the following reactions give(s) a meso-compound as the main product?2020Reactions of alkenes
  37. 37For spontaneous polymerization, which of the following is (are) correct?2020Third law of thermodynamics
  38. 38Which of the following statement(s) is/are incorrect:2020Nitrogen and Its Compounds
  39. 39is attacked by which one / ones of the following?2020Silicon and Its Compounds
  40. 40The product (s) from the above reaction will be2020Reactions of alkenes

Mathematics

  1. 1Let . Then2020Logarithm
  2. 2Let and in , then2020Monotonicity
  3. 3Preview not available - open to view this question.2020Integration by Substitution
  4. 4The value of is equal to2020Properties of Definite Integration
  5. 5is equal to where [] if GIF2020Properties of Definite Integration
  6. 6If the tangent to the curve at is also a normal to the curve at , then the value of is2020Tangent Normal
  7. 7If , then2020Definite Integration by Substitution
  8. 8Let , be a continuous function in , then is2020Definite as Limit of Sum
  9. 9Let be a differentiable function with If , then where2020Applications of DE
  10. 10If and then the value of is2020Homogeneous DE
  11. 11Let where the square root is to be taken positive, then2020Maxima Minima
  12. 12If the function attains its maximum and minimum at and respectively such that , then is equal to2020Maxima Minima
  13. 13If and are arbitrary positive real numbers, then the least possible value of is2020Inequalities
  14. 14If , then2020Logarithm
  15. 15The number of complex numbers such that and imaginary part of is 0, is2020Conjugate, modulus and argument
  16. 16The equation represents a circle of radius2020Geometry of Complex Number
  17. 17The expression and are real has the same sign as that of a for all if2020Graph and Sign of Quadratic
  18. 18In a 12 storied building, 3 persons enter a lift cabin. It is known that they will leave the lift at different floors. In how many ways can 2020Permutation
  19. 19If the total number of m-element subsets of the set is times the number of element subsets containing , then is2020Combination
  20. 20Let for all , then2020Inequalities
  21. 21If are the Binomial co-efficients in the expansion of , then the value of is2020Properties of Binomial Coefficients
  22. 22Let and , then2020Expansion of Determinants
  23. 23Let The value of for which the matrix is not invertible is2020Inverse of a Matrix
  24. 24Let be a real matrix with . If the equation has imaginary roots be the Identity matrix of order 2), then2020Inverse of a Matrix
  25. 25If , then2020Expansion of Determinants
  26. 26If where is the set of all non-singular matrices of order 2 over and , then2020Types of Function (Mapping)
  27. 27Le the relation be defined on by a b holds if and only if is zero or irrational, then2020Questions on Symmetric Transitive and Reflexive Properties
  28. 28The unit vector in ZOX plane, making angles and respectively with and is2020Algebra of Vectors
  29. 29Four persons A, B, C and D throw an unbiased die, turn by turn, in succession till one gets an even number and win the game. What is the pro2020Conditional Probability and Multiplication Theorem
  30. 30A rifleman is firing at a distant target and has only chance of hitting it. The least number of rounds he must fire to have more than chance2020Bernoulli Trial and Binomial Distribution
  31. 31can have a real solution for2020Miscellaneous
  32. 32The differential equation of the family of curves where are arbitrary constants is2020Formation of Differential Equation
  33. 33The equation represents2020Basic Forms of Straight Line
  34. 34The locus of the centre of the circles which touch both the circles and ax externally is2020Equation of hyperbola
  35. 35Let each of the equations represent two straight lines passing through the origin. If they have a common line, then the other two lines are 2020Concurrency & Family of Lines
  36. 36A straight line through the origin meets the parallel lines and at and respectively. The point O divides the segment in the ratio2020Coordinate System
  37. 37Area in the first quadrant between the ellipses and is2020Equation of Ellipse
  38. 38The equation of circle of radius unit, with centre on the positive side of -axis and through the point is2020Equation of Circle & its intercept
  39. 39The length of the chord of the parabola which passes through the vertex and makes an acute angle with the axis of the parabola is2020Chord of parabola
  40. 40A double ordinate of the hyperbola is such that is equilateral, being the centre of the hyperbola. Then the eccentricity e satisfies the rel2020Equation of hyperbola
  41. 41If and are the ends of minor axis and and are the foci of the ellipse , then the area of the rhombus will be2020Equation of Ellipse
  42. 42The equation of the latus rectum of a parabola is and the equation of the tangent at the vertex is . Then the length of the latus rectum is2020Line and parabola
  43. 43The equation of the plane through the point and parallel to the lines and is2020Line in Space
  44. 44The sine of the angle between the straight line and the plane is2020Line and Plane
  45. 45Let be periodic function. Then2020Periodicity
  46. 46The domain of is2020Domain
  47. 47Let . The differential of when changes from 2 to is2020Rate Measure Error and Approximation
  48. 48If , then is2020Exponential and logarithmic limits
  49. 49Letf , be twice continuously differentiable (or " exists and is continuous) such that . Then2020Mean Value Theorem
  50. 50Let . Then2020N degree equation
  51. 51The area of the region is2020Area bounded by two curves
  52. 52In open interval ,2020Monotonicity
  53. 53If the line is a tangent to the parabola at the point and the curve passes through , then2020Tangent to Parabola
  54. 54If the vectors , and are three non-coplanar vectors and , then the value of abc is2020Algebra of Vectors
  55. 55Let and be two imaginary roots of , where and are real. The points and origin form an equilateral triangle if2020Locus Based on Distance Formula
  56. 56If and , where are all real], then has2020Relation between Roots and Coefficients
  57. 57Let be a mapping defined by Then is2020Types of Function (Mapping)
  58. 58Let and be two given functions. If be the domain of and be the domain of of then2020Domain
  59. 59Let and be two equivalence relations defined on a non-void set . Then2020Questions on Symmetric Transitive and Reflexive Properties
  60. 60Consider the curve . The portion of the tangent at any point of the curve intercepted between the point of contact and the directrix subtend2020Tangent to ellipse
  61. 61Aline cuts the -axis at and the -axis at . A variable line is drawn perpendicular to cutting the -axis at and the -axis at . If and BP inter2020Concurrency & Family of Lines
  62. 62Let . Then is2020Exponential and logarithmic limits
  63. 63Preview not available - open to view this question.2020Algebraic and Rational Limits
  64. 64Let , Then2020Formation of Differential Equation
  65. 65Consider the curve be where and are non-zero real numbers. Then2020Tangent Normal
  66. 66The area of the figure bounded by the parabola is2020Area bounded by two curves
  67. 67A particle is projected vertically upwards. If it has to stay above the ground for 12 seconds, then2020Ratio and Proportion
  68. 68The equation has2020Logarithm
  69. 69In a certain test, there are n questions. In this test students gave wrong answers to at least i questions, where i . If the total number of2020Selection of one or more item
  70. 70A and are independent events. The probability that both A and occur is and the probability that neither of them occurs is . The probability 2020Addition and Subtraction Theorems
  71. 71The equation of the straight line passing through the point and making intercepts on the co-ordinate axes whose sum is is2020Basic Forms of Straight Line
  72. 72Consider a tangent to the ellipse at any point. The locus of the midpoint of the portion intercepted between the axes is2020Locus
  73. 73Let . Then is2020Higher order derivatives
  74. 74Let The smallest positive interger such that is2020Algebraic and Rational Limits
  75. 75Tangent is drawn at any point on a curve, which passes through . The tangent cuts X-axis and Y-axis at A and B respectively. If AP:BP = 3:1,2020Tangent Normal

Physics

  1. 1The intensity of light emerging from one of the slits in a Young's double slit experiment is found to be limes the intensity of light emergi2020Interference and Superposition of Waves
  2. 2In a Frounhofer diffraction experiment, a single slit of width is illuminated by a monochromatic light of wavelength . The diffraction patte2020Youngs Double Slit Experiment
  3. 3If is the Rydberg Constant in , then hydrogen atom does not emit any radiation of wave-length in the range of2020Atomic Spectrum
  4. 4A nucleus X emits a beta particle to produce a nucleus Y. If their atomic masses are and respectively, the maximum energy of the beta partic2020Radioactivity
  5. 5For nuclei with mass number close to 119 and 238 , the binding energies per nucleon are approximately and respectively. If a nucleus of mass2020Nuclear energy
  6. 6A common emitter transistor amplifier is connected with a load resistance of . When a small a.c. signal of 15 is added to the base emitter v2020Rectifier
  7. 7In the circuit shown, the value of of the transistor is 48 . If the base current supplied is , what is the voltage at the terminal ?2020Junction Transistors
  8. 8The frequency of the radiation emitted by an atom when an electron jumps from one orbit to another is given by , where is a constant and is 2020Dimensions
  9. 9Consider the vectors . What is the value of2020Multiplication of Vectors
  10. 10A fighter plane, flying horizontally with a speed at an altitude of drops a bomb for a target straight ahead of it on the ground. The bomb .2020Projectile motion
  11. 11A block of mass m rests on a horizontal table with a co-efficient of static friction What minimum force must be applied on the block to drag2020Newton's laws of motion
  12. 12A tennis ball hits the floor with a speed at an angle with the normal to the floor. If the collision is inelastic and the co-efficient of re2020Collisions
  13. 13The bob of a swinging seconds pendulum (one whose time period is ) has a small speed at its lowest point. Its height from this lowest point 2020Energy
  14. 14A steel and a brass wire, each of length and cross-sectional area hang from a ceiling and are apart. Lower ends of the wires are attached to2020Torque
  15. 15Which of the following diagrams correctly shows the relation between the terminal velocity of a spherical body falling in a liquid and visco2020Viscosity
  16. 16An ideal gas undergoes the cyclic process abca as shown in the given diagram. It rejects of heat during and absorbs of heat during ca. Durin2020Thermodynamic Processes
  17. 17A container in the shape of a rectangular parallelopiped of length is divided internally by a movable partition as shown in the figure. The 2020Thermodynamic Systems
  18. 18When of boiling water at is added into a calorimeter containing of cold water at , temperature of the mixture becomes . Then a metallic bloc2020Calorimetry
  19. 19As shwon in the figure, a point charge is placed at the origin in -y plane and another point charge is placed at the co-ordinate . In that c2020Electric Field and Electric Field Lines
  20. 20Four identical point masses, each of mass and carrying charge are placed at the corners of a square of sides 'a' on a frictionless plain sur2020Electric Potential and Potential Energy
  21. 21A very long charged solid cylinder of radius 'a' contains a uniform charge density . Dielectric constant of the material of the cylinder is 2020Electric Flux and Gauss Law
  22. 22A galvanometer can be converted to a voltmeter of full-scale deflection by connecting a series resistance and can be converted to an ammeter2020Electric Instruments
  23. 23As shown in the figure, a single conducting wire is bent to form a loop in the form of a circle of radius 'r' concentrically inside a square2020Magnetic Field
  24. 24As shown in the figure, a wire is bent to form a D-shaped loop, carrying current I, where the curved part is semi-circle of radius . the loo2020Force and Torque on Current Carrying Conductor
  25. 25What will be the equivalent resistance between the terminals A and B of the infinite resistive network shown in the figure?2020Combination of Resistances
  26. 26When a DC voltage is applied at the two ends of a circuit kept in closed box, it is observed that the current gradually increases from zero 2020LR Circuit
  27. 27Consider the circuit shown. If all the cells have negligible internal resistance, what will be the current through the resistor when steady 2020AC Circuits
  28. 28Consider a conducting wire of length bent in the form of a circle of radius and another conductor of length 'a' (a < < R) is bent in the for2020Self and Mutual Inductance
  29. 29An object is placed in front of a convex mirror of focal length . A plane mirror is now placed facing the object in between the object and t2020Mirror Formula, Reflection in Spherical Mirror
  30. 30A thin convex lens is placed just above an empty vessel of depth . The image of a coin kept at the bottom of the vessel is thus formed above2020Refraction of light from plane surface
  31. 31A conducting circular loop of resistance and cross-sectional area is placed perpendicular to a spatially uniform magnetic field B, which var2020Magnetic Field
  32. 32A pair of parallel metal plates are kept with a separation 'd'. One plate is at a potential and the other is at ground potential. A narrow b2020Electric Field and Electric Field Lines
  33. 33A metallic block of mass is dragged with a uniform velocity of on a horizontal table for . The co-efficient of static friction between the b2020Frictional force
  34. 34Consider an engine that absorbs 130 cal of heat from a hot reservoir and delivers 30 cal heat to a cold reservoir in each cycle. The engine 2020Calorimetry
  35. 35Two pith balls, each carrying charge are hung from a hook by two strings. It is found that when each charge is tripled, angle between the st2020Electric Field and Electric Field Lines
  36. 36A point source of light is used in an experiment of photo-electric effects. If the distance between the source and the photo-electric surfac2020Photoelectric Effect
  37. 37Two metallic spheres of equal outer radii are found to have same moment of inertia about their respective diameters. Then which of the follo2020Moment of inertia of rigid bodies
  38. 38A simple pendulum of length is displaced so that its taught string is horizontal and then released. A uniform bar pivoted at one end is simu2020Rotational kinematics
  39. 39A resistor, a inductor and a capacitor are connected in series with an AC source of peak voltage and angular frequency . What is the peak va2020Force and Energy stored in capacitor
  40. 40A charged particle moves with constant velocity in a region where no effect of gravity is felt but an electrostatic field together with a ma2020Electromagnetic Waves and Maxwell's equations

Frequently Asked Questions

1.How many questions are in the WBJEE 2020 paper?

This paper has 155 questions in total - 40 from Chemistry, 75 from Mathematics, and 40 from Physics.

2.Can I practise questions from just one subject?

Yes. Use the Chemistry, Mathematics, and Physics tabs at the top of the page to jump directly to that subject's question set within this paper.

3.How is the WBJEE 2020 paper structured?

The WBJEE 2020 paper on MARKS has 155 questions, organised by subject:

  • Chemistry: 40 questions - 35 single-correct and 5 multiple-correct.
  • Mathematics: 75 questions - 65 single-correct and 10 multiple-correct.
  • Physics: 40 questions - 35 single-correct and 5 multiple-correct.
4.How difficult is the WBJEE 2020 paper?

Each question on MARKS carries a difficulty rating. Of the 155 rated questions in this paper, 52 (34%) are easy, 83 (54%) are medium and 20 (13%) are hard. Subject wise:

  • Chemistry: 15 easy, 21 medium, 4 hard
  • Mathematics: 28 easy, 40 medium, 7 hard
  • Physics: 9 easy, 22 medium, 9 hard
5.Which chapters were asked the most in the WBJEE 2020 paper?

The chapters with the most questions in each subject were:

  • Chemistry: Some Basic Concepts of Chemistry (4), Structure of Atom (4), and Hydrocarbons (3).
  • Mathematics: Application of Derivatives (9), Functions (5), and Limits (5).
  • Physics: Electrostatics (5), Magnetic Effects of Current (3), and Rotational Motion (3).
6.Where can I find the solutions for the WBJEE 2020 paper?

Open any question on this page. Its page shows the correct answer and, where one is available, the worked solution. A downloadable PDF of the whole paper is coming soon.

7.How should I use the WBJEE 2020 paper to check my preparation?

Set a timer, attempt the 155 questions as you would in the exam, and only then open the answers. Note which subjects and chapters cost you the most marks, and revise those first using the chapter-wise practice for WBJEE. Repeating this with other papers shows whether the same weak spots keep coming back.

8.Will the WBJEE 2020 paper help me prepare for WBJEE 2027?

Yes. Every past paper shows the question styles and topics WBJEE has asked before, and a solved paper gives you a realistic benchmark for speed and accuracy. Use it along with the other papers to spot the chapters that keep returning.